Search a number
-
+
10022213132112 = 243307967812961
BaseRepresentation
bin1001000111010111101001…
…1101000001111101010000
31022111010002021011021121010
42101311322131001331100
52303200443030211422
633152050253330520
72053036533013356
oct221657235017520
938433067137533
1010022213132112
113214440041a45
12115a456a96a40
135791241b1b8c
1426911330d7d6
15125a7a121b0c
hex91d7a741f50

10022213132112 has 40 divisors (see below), whose sum is σ = 25899126447040. Its totient is φ = 3339652654080.

The previous prime is 10022213132101. The next prime is 10022213132119. The reversal of 10022213132112 is 21123131222001.

10022213132112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10022213132119) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33758689 + ... + 34054272.

It is an arithmetic number, because the mean of its divisors is an integer number (647478161176).

Almost surely, 210022213132112 is an apocalyptic number.

10022213132112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10022213132112 is an abundant number, since it is smaller than the sum of its proper divisors (15876913314928).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10022213132112 is a wasteful number, since it uses less digits than its factorization.

10022213132112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67816051 (or 67816045 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 10022213132112 its reverse (21123131222001), we get a palindrome (31145344354113).

The spelling of 10022213132112 in words is "ten trillion, twenty-two billion, two hundred thirteen million, one hundred thirty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 48 3079 6158 9237 12316 18474 24632 36948 49264 73896 147792 67812961 135625922 203438883 271251844 406877766 542503688 813755532 1085007376 1627511064 3255022128 208796106919 417592213838 626388320757 835184427676 1252776641514 1670368855352 2505553283028 3340737710704 5011106566056 10022213132112